Roland Bauerschmidt

I am a postdoctoral member of the School of Mathematics at the Institute for Advanced Study in Princeton.

E-mail: brt at the same domain as this webpage
Address: Institute for Advanced Study, Einstein Drive, Princeton, NJ, 08540 USA
Telephone: +1-609-734-8080

Mathematics

My mathematical research interest is in the fields of probability theory and analysis, in particular in their applications to statistical mechanics.

I obtained my Ph.D. degree in the Probability Theory Group at the University of British Columbia in Vancouver. My supervisors were Gordon Slade and David Brydges. I obtained B.Sc. and M.Sc. degrees in physics from ETH Zürich. My master's thesis was supervised by Jürg Fröhlich and Wojciech de Roeck.

Preprints

Scaling limits and critical behaviour of the 4-dimensional n-component |φ|4 spin model
R. Bauerschmidt, D.C. Brydges, and G. Slade
Preprint.
Critical two-point function of the 4-dimensional weakly self-avoiding walk
R. Bauerschmidt, D.C. Brydges, and G. Slade
Preprint.
Logarithmic correction for the susceptibility of the 4-dimensional weakly self-avoiding walk: a renormalisation group analysis
R. Bauerschmidt, D.C. Brydges, and G. Slade
Preprint.
A renormalisation group method. III. Perturbative analysis
R. Bauerschmidt, D.C. Brydges, and G. Slade
Preprint.
Fluctuations in a kinetic transport model for quantum friction
R. Bauerschmidt, W. de Roeck, and J. Fröhlich
To appear in J. Phys. A.
Structural stability of a dynamical system near a non-hyperbolic fixed point
R. Bauerschmidt, D.C. Brydges, and G. Slade
To appear in Ann. Henri Poincaré.
A simple method for finite range decomposition of quadratic forms and Gaussian fields
R. Bauerschmidt
Probab. Theory Related Fields, 157 (2013), 3-4, 817-845.

Lecture notes

Lectures on Self-Avoiding Walks
R. Bauerschmidt, H. Duminil-Copin, J. Goodman, and G. Slade
In: Probability and Statistical Physics in Two and More Dimensions
Clay Mathematics Proceedings, vol. 15, Amer. Math. Soc., 2010, pp. 395-476

Thesis

Decomposition of free fields and structural stability of dynamical systems for renormalization group analysis
Ph.D. Thesis, University of British Columbia, 2013

Related material

Miscellaneous

My favorite author is Paul Auster.